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Parity-violating scalar trispectrum from a rolling axion during inflation
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We study a mechanism of generating the trispectrum (4-point correlation) of curvature perturbation through the dynamics of a spectator axion field and U(1) gauge field during inflation. Owing to the Chern-Simons coupling, only one helicity mode of gauge field experiences a tachyonic instability and sources scalar perturbations. Sourced curvature perturbation exhibits parity-violating nature which can be tested through its trispectrum. We numerically compute parity-even and parity-odd component of the sourced trispectrum. It is found that the ratio of parity-odd to parity-even mode can reach O(10%) in an exact equilateral momentum configuration. We also investigate a quasi-equilateral shape where only one of the momenta is slightly longer than the other three, and find that the parity-odd mode can reach, and more interestingly, surpass the parity-even one. This may help us to interpret a large parity-odd trispectrum signal extracted from BOSS galaxy-clustering data.
Forward citations
Cited by 6 Pith papers
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Parity-violating scalar trispectrum from helical primordial magnetic fields
Helical primordial magnetic fields produce a computable parity-odd signal in the scalar trispectrum, currently constrained to r_H ≲ 4×10^-4 for B_r = 4.7 nG.
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Probing Parity Violation with Weak Lensing Trispectrum
A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.
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Twisted echoes of an odd quartet: Scalar-induced gravitational waves as a probe of primordial parity-violation
A parity-odd primordial trispectrum imprints measurable left-right asymmetry in scalar-induced gravitational waves, and the chirality ratio directly tracks the parity-odd to parity-even trispectrum amplitude ratio.
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CMB Lensing Trispectrum as a Probe of Parity Violation in LSS
The CMB lensing trispectrum is sensitive to parity violation in large-scale structure, and a parity-odd toy model predicts a detectable signal in idealized noiseless forecasts.
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Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers
ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).
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